AI 中文总结
本研究建立了一个可精确求解的各向异性海森堡模型平台，揭示量子多体疤痕、磁子对凝聚与希尔伯特空间碎片化可自然共存。
AI 中文摘要
我们研究由两个相同二分亚晶格构成的晶格上的自旋-1/2各向异性海森堡模型。由受限谱生成代数（RSGA）产生的一组精确本征态构成量子多体疤痕态，其特征为次广延纠缠熵且具有支撑性。这些疤痕态是展现非对角长程序（ODLRO）的磁子对凝聚体。在亚晶格间相互作用的共振点，该模型可精确映射为二分晶格上的混合自旋-1与自旋-0 XY模型，其分解为所有可能自旋构型标记的独立子哈密顿量。每个自旋-0粒子与邻居动态隔离，作为动力学约束产生涌现的希尔伯特空间碎片化（HSF）。本研究建立了一个可精确求解的平台，其中量子多体疤痕、展现非对角长程序的磁子对凝聚与希尔伯特空间碎片化自然共存。
英文摘要
We investigate a spin-$1/2$ anisotropic Heisenberg model on a lattice consisting of two identical bipartite sublattices. A family of exact eigenstates generated by the restricted spectrum generating algebra (RSGA) constitutes quantum many-body scar states, characterized by subextensive entanglement entropy and supporting. These scar states are magnon-pair condensates exhibiting off-diagonal long-range order (ODLRO). At the resonance point of the inter-sublattice interaction, the model exactly maps onto a mixed spin-$1$ and spin-$0$ XY model on a bipartite lattice, which decomposes into independent sub-Hamiltonians labeled by all possible spin configurations. Each spin-$0$ particle is dynamically isolated from its neighbors and acts as a kinetic constraint, giving rise to emergent Hilbert space fragmentation (HSF). Our work establishes an exactly solvable platform in which quantum many-body scars, magnon-pair condensation exhibiting off-diagonal long-range order, and Hilbert space fragmentation naturally coexist.
